144142400 has 42 divisors (see below), whose sum is σ = 354684330. Its totient is φ = 57656320.

The previous prime is 144142399. The next prime is 144142409. The reversal of 144142400 is 4241441.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 12902464 + 131239936 = 3592^2 + 11456^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (144142409) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 43445 + ... + 46644.

It is an arithmetic number, because the mean of its divisors is an integer number (8444865).

Almost surely, 2^144142400 is an apocalyptic number.

144142400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144142400 is an abundant number, since it is smaller than the sum of its proper divisors (210541930).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

144142400 is an equidigital number, since it uses as much as digits as its factorization.

144142400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90111 (or 90096 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 144142400 is about 12005.9318672063. The cubic root of 144142400 is about 524.3209967244.

Adding to 144142400 its reverse (4241441), we get a palindrome (148383841).

It can be divided in two parts, 14 and 4142400, that added together give a palindrome (4142414).

The spelling of 144142400 in words is "one hundred forty-four million, one hundred forty-two thousand, four hundred".